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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality [1/4+1-(1-a)^4] <1/6*{1+[1-(1-a)^6]*(24*a+10)/(2+3*a)} .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 / 4 + 1 - ( 1 - a ) ^ 4 ) <1 / 6 * ( 1 + ( 1 - ( 1 - a ) ^ 6 ) * ( 24 * a + 10 ) / ( 2 + 3 * a ) ) (1)
From the definition field of divisor
2 + 3 * x ≠ 0 (2 )
From inequality(1):
-0.666667 < a < -0.280057 或 0.112296 < a < 1.971378
From inequality(2):
a < -2/3 或 a > -2/3
From inequalities (1) and (2)
-0.666667 < a < -0.280057 或 0.112296 < a < 1.971378 (3)
The final solution set is :
-0.666667 < a < -0.280057 或 0.112296 < a < 1.971378 Your problem has not been solved here? Please take a look at the hot problems !